can i trade binary options in the uk

You cannot trade binary options with FCA regulated trading platforms, but platforms in Europe will accept UK traders so you can open an account with them.

Binary options are forbidden by the UK government (since 2019) because they have caused many retail traders to lose money.

The binary option ban in the UK, has been in effect for years now

https://www.fca.org.uk/news/statements/fca-confirms-permanent-ban-sale-binary-options-retail-consumers